Intuitionistic Fuzzy Sets: Theory and Applications
Intuitionistic Fuzzy Sets: Theory and Applications
General Form of Probabilities on IF-Sets
WILF '09 Proceedings of the 8th International Workshop on Fuzzy Logic and Applications
On the E-Probability on IF-Events
WILF '09 Proceedings of the 8th International Workshop on Fuzzy Logic and Applications
Representation theorem for probabilities on IFS-events
Information Sciences: an International Journal
A generalization of probability theory on MV-algebras to IF-events
Fuzzy Sets and Systems
Probability theory on IF events
Algebraic and proof-theoretic aspects of non-classical logics
The inclusion-exclusion principle for IF-events
Information Sciences: an International Journal
On some basic concepts in probability of IF-events
Information Sciences: an International Journal
| Hi-index | 0.21 |
Recently, axiomatic definition has been given of probability on the family of all IF-events. Any IF-event consists of two fuzzy events and the probability of the event is a compact interval on the real line, hence IF-probability is a mapping from the family of IF-events to the family of all compact intervals. Prof. Mesiar asked to construct such a probability measure which is nondivisible into two components. In this paper, we describe the form of all IF-probability measures. As a consequence we obtain an existence of a nondivisible probability, hence the positive answer to the Mesiar question.